Table 1 Model parameters.

From: Numerical and experimental investigation of multi-species bacterial co-aggregation

Description

Parameter

Value

unit

Nutrient diffusivity

\(D_n\)

\(10^{-6}\)

\(\mu \text {m}^2\ \text {Time}^{-1}\)

Bacterial density threshold

\(\phi _{\text {cri}}\)

0.1

\(\mu \text {g}\ \mu \text {m}^{-3}\)

Consumption rate

\(R_c \)

50

\( \mu \text {m}^3\ \mu \text {g}^{-1} \text {Time}^{-1}\)

Co-aggregation coef.

\(R_{\alpha } \)

15

\(\mu \text {m}\ \text {Time}^{-1}\)

Co-aggregation coef.

\(\tau \)

1

First species growth coef.

\(R_{s1}\)

500

\( \mu \text {m}^3\ \mu \text {g}^{-1} \text {Time}^{-1}\)

Second species growth coef.

\(R_{s2}\)

500

\( \mu \text {m}^3\ \mu \text {g}^{-1} \text {Time}^{-1}\)

Phase-field coefficient for \(\alpha \)

M

\(10^{-4}\)

\(\text {Time}^{-1}\)

Phase-field coefficient for \(\phi _1,\phi _2 \ \text {and}\ c\)

M

0

\(\text {Time}^{-1}\)

Phase-field coefficient (diffusivity)

\(\varepsilon ^2 (D_b)\)

\(10^{-8}\)

\(\mu \text {m}^2\ \text {Time}^{-1}\)

2D Computational domain size

 

\(100 \times 100\)

\(\mu \text {m}\)

Mesh size

 

 0.5

\(\mu \text {m}\)